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Direct least square fitting of ellipses

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3 Author(s)
Fitzgibbon, A. ; Dept. of Sci. Eng., Oxford Univ., UK ; Pilu, M. ; Fisher, R.B.

This work presents a new efficient method for fitting ellipses to scattered data. Previous algorithms either fitted general conics or were computationally expensive. By minimizing the algebraic distance subject to the constraint 4ac-b2=1, the new method incorporates the ellipticity constraint into the normalization factor. The proposed method combines several advantages: It is ellipse-specific, so that even bad data will always return an ellipse. It can be solved naturally by a generalized eigensystem. It is extremely robust, efficient, and easy to implement

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:21 ,  Issue: 5 )